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Finding the Fourth Proportional to 55,715.40, 83,475.78 and 46,415.16

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Solution

The fourth proportional to 55,715.40, 83,475.78 and 46,415.16 is: 69,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,715.40 : 83,475.78 = 46,415.16 : x
  2. Step 2: Convert to fraction form
    55,715.40/83,475.78 = 46,415.16/x
  3. Step 3: Cross multiply
    55,715.40x = 83,475.78 × 46,415.16
  4. Step 4: Simplify right side
    55,715.40x = 3,874,541,684.82
  5. Step 5: Solve for x
    x = 3,874,541,684.82/55,715.40
  6. Step 6: Final answer
    x = 69,541.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.